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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 4, Pages 870–882 (Mi smj1220)  

This article is cited in 7 scientific papers (total in 7 papers)

On two-dimensional finite-gap potential Schrödinger and Dirac operators with singular spectral curves

I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (242 kB) Citations (7)
References:
Abstract: We describe a wide class of two-dimensional potential Schrödinger and Dirac operators which are finite-gap at the zero energy level and whose spectral curves at this level are singular, in particular may have $n$-multiple points with $n\geqslant3$.
Keywords: Schrödinger operator, Dirac operator, spectral curve, finite-gap integration.
Received: 29.10.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 4, Pages 686–694
DOI: https://doi.org/10.1023/A:1024792708878
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: I. A. Taimanov, “On two-dimensional finite-gap potential Schrödinger and Dirac operators with singular spectral curves”, Sibirsk. Mat. Zh., 44:4 (2003), 870–882; Siberian Math. J., 44:4 (2003), 686–694
Citation in format AMSBIB
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\by I.~A.~Taimanov
\paper On two-dimensional finite-gap potential Schr\"odinger and Dirac operators with singular spectral curves
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\pages 870--882
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\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 4
\pages 686--694
\crossref{https://doi.org/10.1023/A:1024792708878}
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  • https://www.mathnet.ru/eng/smj/v44/i4/p870
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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